Mark the correct alternative in the following:
Consider the system of equations:

a₁x + b₁y + c₁z = 0

a₂x + b₂y + c₂z = 0

a₃x + b₃y + c₃z = 0

If then the system has

Question

Mark the correct alternative in the following:Let a, b, c be positive real numbers. The following system of equations in x, y and z has

Philoid · Accepted Answer

The given system of linear equations is :-

+ - = 1

- + = 1

- + + = 1

Let = p , = q , = r

The equation becomes,

+ - = 1

- + = 1

- + + = 1

The matrix equation corresponding to the above system of equation is

Let A =

|A| =

Taking common from , from and from we get,

|A| = = 0

A unique solution exists.

Mark the correct alternative in the following:
Let a, b, c be positive real numbers. The following system of equations in x, y and z

has